Proposition 3.3 
Consider the case of () .
Assume that [1]} holds. Then for any \(t\ge 0\)  and \(N\ge r_1\) , we have that
\(\mathbb {E}\left(\left|U_t^N(Y)-U_t(Y)\right|^n\right)^{1/n} \le \frac{\mathsf {C}(n)}{\sqrt{N}}\) 
